Due the school day after we cover the lesson in class
5-1: Ryan B. and Trevor S.
5-2: Hannah B. and Kale B.
5-3: Adam B. and Rachel K.
5-4: Jake E. and Max P.
5-5: Chrisla F. and Stjepan M.
5-6: Davin H. and Spenser P.
5-7: Omar H. and August S.
5-8: Adam B. (Bonus) and Andrew E. (Bonus)
5-9: Andrew E. (Bonus) and Rachel K. (Bonus)
Student Summaries:
In this lesson we learned about angles and perpendicular lines. Complementary angles are two angles that add up to 90 degrees and supplementary two angles add up to 180. Vertex is a point where two rays meet. Perpendicular lines intersect at a 90 degree angle, if two lines don't make a 90 degree angle then they aren't perpendicular. Congruent angles that have the same measure. Adjacent angles are two angles that share a same side and vertex but no other points. - Hannah B.
in this lesson we learned about rays, opposite rays, vertex, angles, complimentary and supplementary angles. rays stretch forever in one direction. opposite rays are rays that add together and stretch forever in one direction. angles are the pivot point and have degrees that can be from 0 - 180. - Kale B.
Student Summaries: In this lesson the goal was to identify angles formed by parallel lines and transversals and to identify and use properties of parallel lines. There are two postulates that are important to this lesson. They are called the Parallel Line Postulates. Postulate 5 stats that if two parallel lines are cut by a transversal, then corresponding angles are congruent. Postulate 6 stats that if two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel. - Rachel K, Adam B
Student Summaries:In this lesson i learned about corresponding angle and corresponding side,like when two triangle are congruent if their vertices can be matched so that corresponding parts of the triangles are congruent.If you trace an angle ABC and you trace another one DFG,angle A congruent to angle D,and line AB congruent to line DF. Chrisla F.
In lesson 5-5, Our Intergrated Math 2 class we have learned about Three different postulates (ASA, SSS, SAS). These postulates helped us determine how to find the angles of different types of triangles that we were working with. With these three postulates there are rules and there are rules on how to solve the angles. The rule for ASA ( Angle Side Angle) is that you go from one angle to the first side and then again to the other angle which would be the opposite of the first angle. The rule for SSS (Side Side Side) is that you find the sides only on either a tringle that is divided by a line down the middle or one can apply the SSS rule for any quadrilateral. The rule for SAS (Side Angle Side) is that once again one can apply to a triangle to go from the first side to the angle and then to the other side, this rule will help one classify the type of triangle or a quadrilateral. In Lesson 5-5 we have also worked with a compass to make circles and find measures within the the triangle that was created by plotting points. Once the class had the two circles completed on a line, we moved on to the measurement with a ruler and found out the calculations of the triangle. Stjepan M.
Student Summaries:In this lesson we learned about quadrilaterals and parallelograms. A quadrilateral is a 4 sided object. A trapezoid is a quadrilateral with exactly one pair of parallel sides. A parallelogram is a quadrilateral with two pairs of parallel sides. A rectangle is a parallelogram with 4 right angles. A rhombus is a parallelogram with four congruent sides. A square is both a rectangle and a rhombus which has four right angles and four congruent sides.- Davin H
As Davin said we learned about quadrilaterals and parallelogram in this lesson. I don't have much to add that Davin didn't, he just beat me to the punch. All of these have 4 sides. A quadrilateral has only one pair of congruent parallel sides, parallelograms have 2 pairs of congruent parallel sides. - Spenser P.
Student Summaries:
In this lesson we learned about diagonals and angles of polygons. We learned how to classify polygons according to their sides. Concave has an identation in the side. Convex has no indentation. We learned angle sum of a polygon, S=(n-2)180. Angle measure of a regular polygon is S=(n-2)180/2. We learned how to find the degrees of each angle in any given polygon.
-August S.
Student Summaries:
In this lesson we learned about the properties of a circle. This included what the radius and diameter of a circle were. A radius of a circle is the distance from the outside of it to the middle and the diameter is the distance from one side to the other side. We also learned about chords of a circle which were lines across a circle that weren't in the middle of it. This lesson talked about arc's (major and minor) and also semi circles which are half circles. -Adam B.
In lesson 5-8 we learned about the relationship, and properties of circles and how to apply them. In the lesson was a lot of terms that talked about different kinds of lengths on the circle and from the center. The segments on a circle are called chords, which are segments with both endpoints on a circle. There was also terms about angles, and arc, which help find lengths on a circle. Using the terms can help find different lengths on a circle. Andrew E.
Table of Contents
Chapter 5: Logic and Geometry
Preview: Chapter 5 Preview 0910.pdfWiki Summary Assignments
Due the school day after we cover the lesson in class5-1: Ryan B. and Trevor S.
5-2: Hannah B. and Kale B.
5-3: Adam B. and Rachel K.
5-4: Jake E. and Max P.
5-5: Chrisla F. and Stjepan M.
5-6: Davin H. and Spenser P.
5-7: Omar H. and August S.
5-8: Adam B. (Bonus) and Andrew E. (Bonus)
5-9: Andrew E. (Bonus) and Rachel K. (Bonus)
5-1: Elements of Geometry
Notes: Section 5-1 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries: it introduced geometry and the logic of geometry. it tought us vocab and told us what geometry is. - Ryan B.
We learned what parallel lines and what planes were. We also learned what points are and learned a bunch of vocab. - Trevor S.
5-2: Angles and Perpendicular Lines
Notes: Section 5-2 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
In this lesson we learned about angles and perpendicular lines. Complementary angles are two angles that add up to 90 degrees and supplementary two angles add up to 180. Vertex is a point where two rays meet. Perpendicular lines intersect at a 90 degree angle, if two lines don't make a 90 degree angle then they aren't perpendicular. Congruent angles that have the same measure. Adjacent angles are two angles that share a same side and vertex but no other points. - Hannah B.
in this lesson we learned about rays, opposite rays, vertex, angles, complimentary and supplementary angles. rays stretch forever in one direction. opposite rays are rays that add together and stretch forever in one direction. angles are the pivot point and have degrees that can be from 0 - 180. - Kale B.
5-3: Parallel Lines and Transversals
Notes: Section 5-3 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries: In this lesson the goal was to identify angles formed by parallel lines and transversals and to identify and use properties of parallel lines. There are two postulates that are important to this lesson. They are called the Parallel Line Postulates. Postulate 5 stats that if two parallel lines are cut by a transversal, then corresponding angles are congruent. Postulate 6 stats that if two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel. - Rachel K, Adam B
5-4: Properties of Triangles
Notes: Section 5-4 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
5-5: Congruent Triangles
Notes: Section 5-5 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries:In this lesson i learned about corresponding angle and corresponding side,like when two triangle are congruent if their vertices can be matched so that corresponding parts of the triangles are congruent.If you trace an angle ABC and you trace another one DFG,angle A congruent to angle D,and line AB congruent to line DF. Chrisla F.
In lesson 5-5, Our Intergrated Math 2 class we have learned about Three different postulates (ASA, SSS, SAS). These postulates helped us determine how to find the angles of different types of triangles that we were working with. With these three postulates there are rules and there are rules on how to solve the angles. The rule for ASA ( Angle Side Angle) is that you go from one angle to the first side and then again to the other angle which would be the opposite of the first angle. The rule for SSS (Side Side Side) is that you find the sides only on either a tringle that is divided by a line down the middle or one can apply the SSS rule for any quadrilateral. The rule for SAS (Side Angle Side) is that once again one can apply to a triangle to go from the first side to the angle and then to the other side, this rule will help one classify the type of triangle or a quadrilateral. In Lesson 5-5 we have also worked with a compass to make circles and find measures within the the triangle that was created by plotting points. Once the class had the two circles completed on a line, we moved on to the measurement with a ruler and found out the calculations of the triangle. Stjepan M.
5-6: Quadrilaterals and Parallelograms
Notes: Section 5-6 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries:In this lesson we learned about quadrilaterals and parallelograms. A quadrilateral is a 4 sided object. A trapezoid is a quadrilateral with exactly one pair of parallel sides. A parallelogram is a quadrilateral with two pairs of parallel sides. A rectangle is a parallelogram with 4 right angles. A rhombus is a parallelogram with four congruent sides. A square is both a rectangle and a rhombus which has four right angles and four congruent sides.- Davin H
As Davin said we learned about quadrilaterals and parallelogram in this lesson. I don't have much to add that Davin didn't, he just beat me to the punch. All of these have 4 sides. A quadrilateral has only one pair of congruent parallel sides, parallelograms have 2 pairs of congruent parallel sides. - Spenser P.
5-7: Diagonals and Angles of Polygons
Notes: Section 5-7 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
In this lesson we learned about diagonals and angles of polygons. We learned how to classify polygons according to their sides. Concave has an identation in the side. Convex has no indentation. We learned angle sum of a polygon, S=(n-2)180. Angle measure of a regular polygon is S=(n-2)180/2. We learned how to find the degrees of each angle in any given polygon.
-August S.
5-8: Properties of Circles
Notes: Section 5-8 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
In this lesson we learned about the properties of a circle. This included what the radius and diameter of a circle were. A radius of a circle is the distance from the outside of it to the middle and the diameter is the distance from one side to the other side. We also learned about chords of a circle which were lines across a circle that weren't in the middle of it. This lesson talked about arc's (major and minor) and also semi circles which are half circles. -Adam B.
In lesson 5-8 we learned about the relationship, and properties of circles and how to apply them. In the lesson was a lot of terms that talked about different kinds of lengths on the circle and from the center. The segments on a circle are called chords, which are segments with both endpoints on a circle. There was also terms about angles, and arc, which help find lengths on a circle. Using the terms can help find different lengths on a circle. Andrew E.
5-9: Problem Solving Skills: Circle Graphs
Notes: Section 5-9 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
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